29.39 is what percent of 53.56 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 53.56 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 53.56, so we can write it down as 100%=53.56.
4. We know, that x% equals 29.39 of the output value, so we can write it down as x%=29.39.
5. Now we have two simple equations:
1) 100%=53.56
2) x%=29.39
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=53.56/29.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.39 is what percent of 53.56

100%/x%=53.56/29.39
(100/x)*x=(53.56/29.39)*x       - we multiply both sides of the equation by x
100=1.82238856754*x       - we divide both sides of the equation by (1.82238856754) to get x
100/1.82238856754=x
54.873039581777=x
x=54.873039581777

now we have:
29.39 is 54.873039581777% of 53.56